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creativ13 [48]
2 years ago
14

Page 1:

Mathematics
2 answers:
Tema [17]2 years ago
8 0

Answer:

i think it would be number 3.

Hope this helps.

Step-by-step explanation:

Novosadov [1.4K]2 years ago
3 0

Answer:

4) Reflect over the y-axis, reflect over the x-axis, rotate 180°

Step-by-step explanation:

Since, the rule of 180° rotation,

(x,y)\rightarrow (-x,-y)

Rule of reflection over x-axis,

(x,y)\rightarrow (x,-y)

Rule of reflection over y-axis,

(x,y)\rightarrow (-x,y)

Rule of reflection over line y = x,

(x,y)\rightarrow (y,x)

∵ In the set of reflection,

Rotate 180°, reflect over the x-axis, reflect over the line y=x,

(x,y)\rightarrow (-x,-y)\rightarrow (-x,y)\rightarrow (y,-x)

Reflect over the x-axis, rotate 180°, reflect over the x-axis,

(x,y)\rightarrow (x,-y)\rightarrow (-x,y)\rightarrow (-x,-y)

Rotate 180°, reflect over the y-axis, reflect over the line y=x,

(x,y)\rightarrow (-x,-y)\rightarrow (x,-y)\rightarrow (-y,x)

Reflect over the y-axis, reflect over the x-axis, rotate 180°,

(x,y)\rightarrow (-x,y)\rightarrow (-x,-y)\rightarrow (x,y)

Hence, the set of reflections and rotations that would carry rectangle ABCD onto itself is,

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Option '4' is correct.

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